Simplify, and write the answer using only positive exponents. Assume all variables represent nonzero numbers.

A. 816
B. 7297
C. 94
D. 96


Answer: D

Mathematics

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Solve the problem.A small frictionless cart, attached to the wall by a spring, is pulled 10 cm back from its rest position and released at time t = 0 to roll back and forth for 4 sec. Its position at time t is . What is the cart's maximum speed? When is the cart moving that fast? What is the magnitude of of the acceleration then?

A. 10? ? 31.42 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec2 B. ? ? 3.14 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec2 C. 10? ? 31.42 cm/sec; t = 0.5 sec, 2.5 sec; acceleration is 1 cm/sec2 D. 10? ? 31.42 cm/sec; t = 0 sec, 1 sec, 2 sec, 3 sec; acceleration is 0 cm/sec2

Mathematics

Solve the problem.The length of one arch of the curve y = 3 sin 2x is given by  L = Estimate L by the Trapezoidal Rule with n = 6.

A. 6.2807 B. 5.8169 C. 6.4115 D. 6.1995

Mathematics

Provide an appropriate response.Decide if the following statement is true or false and explain your answer:  The median for the given set of data is 92: 90, 78, 92, 95, 89, 92, 87, 85, 83, 98, 97

What will be an ideal response?

Mathematics

Solve the problem.A sloping ramp is to be built with vertical supports at points B, C, and D as shown. The supports at A and E are 7 and 11 feet high, respectively. How high must the supports be at the points B, C, and D?

A. B = 8 ft, C = 9.5 ft, D = 10 ft B. B = 9 ft, C = 12 ft, D = 13 ft C. B = 8 ft, C = 9.5 ft, D = 11 ft D. B = 8 ft, C = 10.5 ft, D = 13.5 ft

Mathematics